"Transgender/Transsexual" is a noun and a noun adjunct (used like an adjective while still being a noun), agree or go back to school?

Chicken Soup, Chicken is a noun, Soup is a noun.

Transgender Man, transgender is a noun, Man is a noun.

Clone Army, Clone is a noun, Army is a noun.

Transsexual People, Transsexual is a noun, people is a noun.

You've been schooled, school is a noun used as a verb.
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